document.write( "Question 804135: Can i Please ask for extra assistance on solving this simultaneous equation by the SUBSTITUTION Technique? Would really appreciate any help I can get.\r
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document.write( "4x+y=9
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document.write( "3x+2y=13\r
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document.write( "THANK YOU! \n" );
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Algebra.Com's Answer #484628 by thejackal(72)![]() ![]() You can put this solution on YOUR website! 4x + y = 9 \n" ); document.write( "3x + 2y = 13\r \n" ); document.write( "\n" ); document.write( "pick any equation, say equation 1\r \n" ); document.write( "\n" ); document.write( "4x + y = 9\r \n" ); document.write( "\n" ); document.write( "express y as a function of x \n" ); document.write( "thus\r \n" ); document.write( "\n" ); document.write( "y = 9 - 4x\r \n" ); document.write( "\n" ); document.write( "plug this equation (otherwise known as substitute) into equation 2\r \n" ); document.write( "\n" ); document.write( "3x + 2(9 - 4x) = 13\r \n" ); document.write( "\n" ); document.write( "3x + 18 - 8x = 13\r \n" ); document.write( "\n" ); document.write( "simplify\r \n" ); document.write( "\n" ); document.write( "18 - 13 = 8x - 3x\r \n" ); document.write( "\n" ); document.write( "5 = 5x\r \n" ); document.write( "\n" ); document.write( "1 = x\r \n" ); document.write( "\n" ); document.write( "plug this result back into the equation for y\r \n" ); document.write( "\n" ); document.write( "y = 9 - 4x = 9 - 4(1) = 5\r \n" ); document.write( "\n" ); document.write( "so y = 5 and x = 1\r \n" ); document.write( "\n" ); document.write( "trying using the values of y and x in the original equations to prove that you are right \n" ); document.write( " \n" ); document.write( " |